Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/57, 640/58, 100/946 quickly i.e. 28800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/57, 640/58, 100/946 is 28800.
LCM(288/57, 640/58, 100/946) = 28800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/57,640/58,100/946
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 288,640,100
Least Common Multiple of Numerators i.e. LCM of 288,640,100 is 28800.
GCF of Denominators means GCF of 57,58,946 as per the given fractions.
GCF of 57,58,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,640,100
2 | 288, 640, 100 |
2 | 144, 320, 50 |
2 | 72, 160, 25 |
2 | 36, 80, 25 |
2 | 18, 40, 25 |
5 | 9, 20, 25 |
9, 4, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 9 x 4 x 5 = 28800
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 288,640,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,640,100) = 4
common factors(in case of two or more numbers have common factors) = 160
GCF(288,640,100) x common factors =4 x 160 = 640
LCM(288,640,100) = ( 288 × 640 × 100 ) / 640
LCM(288,640,100) = 18432000 / 640
LCM(288,640,100) = 28800
Lets's calculate GCF of 57,58,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28800/1
Therefore the LCM of Fractions 288/57,640/58,100/946 is 28800
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 57,58,946 . The biggest common factor number is the GCF number.
So the greatest common factor 57,58,946 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 288/57, 640/58, 100/946?
Answer: LCM of Numerators as per given numbers 288/57, 640/58, 100/946 is
LCM of Numerators i.e. for 288,640,100 is 28800
GCF of denominators i.e. for 57,58,946 is 1.
Thus, LCM of Fractions is 28800.Finally, LCM of Fractions for 288/57, 640/58, 100/946 is 28800.